Analysis reveals how intuitionistic fuzzy and Rayleigh distribution enhance reliability assessment in hydropower systems, suggesting reliability improvements.
This work considers the intuitionistic fuzzy approach, using the Rayleigh distribution to define failure parameters and trapezoidal intuitionistic fuzzy numbers (TrIFNs) to characterize fuzzy variables. We calculate the reliability function using the universal (probability) generating function. We further apply the method to a hydropower system subjected to a PID (proportional-integral-derivative) controller by evaluating intuitionistic fuzzy reliability and the sensitivity of fuzzy reliability. We also use the average operator of TrIFNs with equal weights to analyze intuitionistic fuzzy reliability and sensitivity more effectively. We present the results in graphical and tabular form for greater clarity.
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Tiwari et al. (2025) studied this question.
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